100053100 has 72 divisors (see below), whose sum is σ = 253282400. Its totient is φ = 34292160.

The previous prime is 100053091. The next prime is 100053113. The reversal of 100053100 is 1350001.

It is a super-2 number, since 2×100053100² = 20021245639220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32842 + ... + 35758.

Almost surely, 2^100053100 is an apocalyptic number.

100053100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100053100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126641200).

100053100 is an abundant number, since it is smaller than the sum of its proper divisors (153229300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100053100 is a wasteful number, since it uses less digits than its factorization.

100053100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100053100 is about 10002.6546476423. The cubic root of 100053100 is about 464.2410249463.

The spelling of 100053100 in words is "one hundred million, fifty-three thousand, one hundred".